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148828320 = 2533547733
BaseRepresentation
bin10001101111011…
…11000010100000
3101101001021002000
420313233002200
5301100001240
622433524000
73455006544
oct1067570240
9341037060
10148828320
1177011a13
1241a13600
1324aab7c4
1415aa1a24
15d0ec430
hex8def0a0

148828320 has 192 divisors, whose sum is σ = 532707840. Its totient is φ = 38790144.

The previous prime is 148828279. The next prime is 148828321. The reversal of 148828320 is 23828841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148828321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202674 + ... + 203406.

It is an arithmetic number, because the mean of its divisors is an integer number (2774520).

Almost surely, 2148828320 is an apocalyptic number.

148828320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266353920).

148828320 is an abundant number, since it is smaller than the sum of its proper divisors (383879520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148828320 is a wasteful number, since it uses less digits than its factorization.

148828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 148828320 is about 12199.5213020839. The cubic root of 148828320 is about 529.9422270004.

The spelling of 148828320 in words is "one hundred forty-eight million, eight hundred twenty-eight thousand, three hundred twenty".